Pith Number

pith:IZ5XFPAG

pith:2018:IZ5XFPAGXVPZWSXNEIEUDQC3WV

not attested not anchored not stored refs pending

aCM vector bundles on projective surfaces of nonnegative Kodaira dimension

Edoardo Ballico, Joan Pons-Llopis, Sukmoon Huh

arxiv:1807.08918 v1 · 2018-07-24 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ5XFPAGXVPZWSXNEIEUDQC3WV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:09:57.427877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467b72bc06bd5f9b4aed220941c05bb56cf6bc499625dd559481c0b1106892fc

Aliases

arxiv: 1807.08918 · arxiv_version: 1807.08918v1 · doi: 10.48550/arxiv.1807.08918 · pith_short_12: IZ5XFPAGXVPZ · pith_short_16: IZ5XFPAGXVPZWSXN · pith_short_8: IZ5XFPAG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZ5XFPAGXVPZWSXNEIEUDQC3WV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 467b72bc06bd5f9b4aed220941c05bb56cf6bc499625dd559481c0b1106892fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96de3e07ad37cccd644558fdfd21cc59b8a059c78b75c65a2dbe398449aed6bf",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-24T06:04:58Z",
    "title_canon_sha256": "50499592ad521ae5348ec5468210e089a825509f9722ab4638d43a2da1cc58d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08918",
    "kind": "arxiv",
    "version": 1
  }
}